On the axioms for adhesive and quasiadhesive categories

Richard Garner; Stephen Lack

On the axioms for adhesive and quasiadhesive categories

Richard Garner^*, Stephen Lack

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

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Abstract

A category is adhesive if it has all pullbacks, all pushouts along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.

Original language	English
Pages (from-to)	27-46
Number of pages	20
Journal	Theory and Applications of Categories
Volume	27
Publication status	Published - 7 May 2012

Bibliographical note

Copyright the Author(s) 2012. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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On the axioms for adhesive and quasiadhesive categories

Abstract

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